Abstract
In recent years, more researches on structural reliability theory and methods have been carried out. In this study, a portal steel frame is considered. The reliability analysis for the frame is represented by the probability of failure, P_f, and the reliability index, β, that can be predicted based on the failure of the girders and columns. The probability of failure can be estimated dependent on the probability density function of two random variables, namely Capacity R, and Demand Q. The Monte Carlo simulation approach has been employed to consider the uncertainty the parameters of R, and Q. Matlab functions have been adopted to generate pseudo-random number for considered parameters. Although the Monte Carlo method is active and is widely used in reliability research, it has a disadvantage which represented by the requirement of large sample sizes to estimate the small probabilities of failure. This is leading to computational cost and time. Therefore, an Approximated Monte Carlo simulation method has been adopted for this issue. In this study, four performances have been considered include the serviceability deflection limit state, ultimate limit state for girder, ultimate limit state for the columns, and elastic stability. As the portal frame is a statically indeterminate structure, therefore bending moments, and axial forces cannot be determined based on static alone. A finite element parametric model has been prepared using Abaqus to deal with this aspect. The statistical analysis for the results samples show that all response data have lognormal distribution except of elastic critical buckling load which has a normal distribution.
Highlights
The design of engineering structures is usually associated with a significant level of uncertainties due to limited information in the process of estimating the structural parameters
In 2019, the system reliability analysis based limit state design criterion for 3D steel frames under wind loads had been studied by Wenyu et al Through the Monte Carlo technique, the probabilistic characteristics of the ultimate lateral strengths of the frames are determined
The behavior of steel frame is generally assessed based on their strength and their elastic deformations In addition to the deterministic aspects that discussed in mechanics of material, the strength and deformation of steel frames have random parts due to the scatter in the dimensions, material properties, and the applied load
Summary
The design of engineering structures is usually associated with a significant level of uncertainties due to limited information in the process of estimating the structural parameters. In 2019, the system reliability analysis based limit state design criterion for 3D steel frames under wind loads had been studied by Wenyu et al Through the Monte Carlo technique, the probabilistic characteristics of the ultimate lateral strengths of the frames are determined. The behavior of steel frame is generally assessed based on their strength and their elastic deformations In addition to the deterministic aspects that discussed in mechanics of material, the strength and deformation of steel frames have random parts due to the scatter in the dimensions, material properties, and the applied load These random aspects can be simulated in terms of the probability density functions that either obtained from real experimental data on the member scale level or from the simulation that based on data of sectional level [12]. This study innovatively concerns with the randomness in structural parameters and how these randomness effects on structure reliability by determining the probability of failure and reliability index using Monte Carlo simulation method and Approximate Monte Carlo simulation method
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